Story:
The story behind Samurai Champloo isn't very complex, but it works. There is a little bit more focus on individual episodes than the main plot most of the time; the main idea is never forgotten though.
Art:
The Art is cool; everything from old Japanese style paintings to graffiti art! Outstanding! It's a shame it was never in HD.
Sound:
I thought I'd dislike Samurai Champloo because I'm a Metalhead and its sound focuses on record scratching, but they used the sounds to good effect. It was amusing to say the least.
Characters:
Mugen and Jin are awesome. They both have epic sword skills. Mugen is a cut up and Jin is quiet. Both of them provide awesome fights and good jokes. Fuu isn't epic in any way, but the show would be nothing without her.
Basically:
Samurai Champloo is one of my favorites. It's funny for the most part; that's what I like. I would recommend it to anyone who watches anime.